181 research outputs found
Domain Expansion via Network Adaptation for Solving Inverse Problems
Deep learning-based methods deliver state-of-the-art performance for solving
inverse problems that arise in computational imaging. These methods can be
broadly divided into two groups: (1) learn a network to map measurements to the
signal estimate, which is known to be fragile; (2) learn a prior for the signal
to use in an optimization-based recovery. Despite the impressive results from
the latter approach, many of these methods also lack robustness to shifts in
data distribution, measurements, and noise levels. Such domain shifts result in
a performance gap and in some cases introduce undesired artifacts in the
estimated signal. In this paper, we explore the qualitative and quantitative
effects of various domain shifts and propose a flexible and parameter efficient
framework that adapt pretrained networks to such shifts. We demonstrate the
effectiveness of our method for a number of natural image, MRI, and CT
reconstructions tasks under domain, measurement model, and noise-level shifts.
Our experiments demonstrate that our method provides significantly better
performance and parameter efficiency compared to existing domain adaptation
techniques
Specific heat and magnetocaloric effect in Pr1-xAgxMnO3 manganites
The magnetocaloric effect in alternating magnetic fields has been
investigated in Pr1-xAgxMnO3 manganites with x=0.05-0.25. The stepwise reversal
of the sign of the magnetocaloric effect has been revealed in a weakly doped
sample (x=0.05) at low temperatures (~80 K). This reversal is attributed to the
coexistence of the ferromagnetic and canted antiferromagnetic phases with
different critical temperatures.Comment: 4 pages, 4 figure
Recovery Analysis for Plug-and-Play Priors using the Restricted Eigenvalue Condition
The plug-and-play priors (PnP) and regularization by denoising (RED) methods
have become widely used for solving inverse problems by leveraging pre-trained
deep denoisers as image priors. While the empirical imaging performance and the
theoretical convergence properties of these algorithms have been widely
investigated, their recovery properties have not previously been theoretically
analyzed. We address this gap by showing how to establish theoretical recovery
guarantees for PnP/RED by assuming that the solution of these methods lies near
the fixed-points of a deep neural network. We also present numerical results
comparing the recovery performance of PnP/RED in compressive sensing against
that of recent compressive sensing algorithms based on generative models. Our
numerical results suggest that PnP with a pre-trained artifact removal network
provides significantly better results compared to the existing state-of-the-art
methods.Comment: 27 pages, 13 figure
Modeling of the natural vertically directed body waves generation processes in geological media
The report reviews interdisciplinary problem relevant to the search method hydrocarbon a low-frequency seismic sounding, based on the study of resonance properties of geological media. Problem is in the representation of the process of natural formation of a vertically directed body waves in a geological medium. In this survey was suggested and simulated a scattering mechanism of surface Rayleigh waves on inhomogeneities with Poisson's ratio different from the enclosing environment. The result of simulation of the upper part of the section as a set of layers consisting of elements with a random Poisson's ratio is observed a natural formation of a vertically directed volume waves
Π₯Π°ΡΠ°ΠΊΡΠ΅Ρ ΠΊΠ»ΠΈΠ½ΠΈΡΠ΅ΡΠΊΠΈΡ ΠΏΡΠΎΡΠ²Π»Π΅Π½ΠΈΠΉ ΠΎΠΆΠΎΠ³ΠΎΠ² Π³Π»Π°Π· Ρ ΠΏΠ°ΡΠΈΠ΅Π½ΡΠΎΠ² Ρ ΡΠ°Π·Π»ΠΈΡΠ½ΡΠΌ ΡΠ΅Π½ΠΎΡΠΈΠΏΠΎΠΌ Π°ΡΠ΅ΡΠΈΠ»ΠΈΡΠΎΠ²Π°Π½ΠΈΡ ΠΏΡΠΈ Π½ΠΎΡΠΌΠ°Π»ΠΈΠ·ΠΎΠ²Π°Π½Π½ΠΎΠΌ Π²Π½ΡΡΡΠΈΠ³Π»Π°Π·Π½ΠΎΠΌ Π΄Π°Π²Π»Π΅Π½ΠΈΠΈ
PURPOSE: To study the character of clinical manifestations of ocular burns in patients with normal IOP and different acetylation phenotypes (APh).METHODS: We examined 103 patients with ocular burns (141 eyes) during their primary visit to the Republican Clinical Eye Hospital of the Ministry of Health of Uzbekistan, on different time-points during therapy (on days 2, 5, 7, 12 after the beginning of treatment) and then during an active clinical examination 30 days and 4 months after discharge. 44 patients were examined 1-2 years after suffering a burn injury in order to identify the later post-burn complications and their interpretation according to the patientβs APh. 52 (69 eyes) patients out of 103 examined patients (141 affected eyes) had a slow acetylation phenotype (SA) and 51 patients (72 eyes) β a fast acetylation phenotype (FA).RESULTS: The results of these studies allow us to assert that patients with SA phenotype develop deeper ocular burns, with eye tissue damages less prone to treatment than in FA patients, where less pronounced changes lead to faster process normalization. APh determines the course of the manifestations, their severity and risk of complications in ocular burns patients. Fast acetylation phenotype may serve as a prognostic marker of faster pathological changes regression in ocular tissues, whereas the slow acetylation phenotype suggests the development of more severe disease forms, often requiring a prolonged and complex therapy.Β Π¦ΠΠΠ¬. ΠΠ·ΡΡΠΈΡΡ Ρ
Π°ΡΠ°ΠΊΡΠ΅Ρ ΠΊΠ»ΠΈΠ½ΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΡΠ΅ΡΠ΅Π½ΠΈΡ ΠΏΠΎΡΠ°ΠΆΠ΅Π½ΠΈΡ Π³Π»Π°Π·Π° ΠΏΡΠΈ Ρ
ΠΈΠΌΠΈΡΠ΅ΡΠΊΠΈΡ
ΠΎΠΆΠΎΠ³Π°Ρ
Π² Π·Π°Π²ΠΈΡΠΈΠΌΠΎΡΡΠΈ ΠΎΡ ΡΠ΅Π½ΠΎΡΠΈΠΏΠ° Π°ΡΠ΅ΡΠΈΠ»ΠΈΡΠΎΠ²Π°Π½ΠΈΡ (Π€Π) ΠΏΡΠΈ Π½ΠΎΡΠΌΠ°Π»ΠΈΠ·ΠΎΠ²Π°Π½Π½ΠΎΠΌ Π²Π½ΡΡΡΠΈΠ³Π»Π°Π·Π½ΠΎΠΌ Π΄Π°Π²Π»Π΅Π½ΠΈΠΈ (ΠΠΠ).ΠΠΠ’ΠΠΠ«. ΠΡΠ»ΠΈ ΠΎΠ±ΡΠ»Π΅Π΄ΠΎΠ²Π°Π½Ρ 103 Π±ΠΎΠ»ΡΠ½ΡΡ
Ρ ΠΎΠΆΠΎΠ³Π°ΠΌΠΈ Π³Π»Π°Π· (141 Π³Π»Π°Π·): ΠΏΡΠΈ ΠΏΠ΅ΡΠ²ΠΈΡΠ½ΠΎΠΌ ΠΎΠ±ΡΠ°ΡΠ΅Π½ΠΈΠΈ, Π½Π° ΡΡΠ°ΠΏΠ°Ρ
ΡΠ΅ΡΠ°ΠΏΠΈΠΈ (2, 5, 7, 12 ΡΡΡΠΊΠΈ ΠΎΡ ΠΌΠΎΠΌΠ΅Π½ΡΠ° ΠΎΠ±ΡΠ°ΡΠ΅Π½ΠΈΡ Π² ΠΊΠ»ΠΈΠ½ΠΈΠΊΡ) ΠΈ ΠΏΡΠΈ Π°ΠΊΡΠΈΠ²Π½ΠΎΠΉ Π΄ΠΈΡΠΏΠ°Π½ΡΠ΅ΡΠΈΠ·Π°ΡΠΈΠΈ Π² ΡΡΠΎΠΊΠΈ 30 Π΄Π½Π΅ΠΉ ΠΈ 4 ΠΌΠ΅Ρ. ΠΏΠΎΡΠ»Π΅ Π²ΡΠΏΠΈΡΠΊΠΈ. Π§Π΅ΡΠ΅Π· 1-2 Π³ΠΎΠ΄Π° ΠΏΠΎΡΠ»Π΅ ΠΏΠ΅ΡΠ΅Π½Π΅ΡΠ΅Π½Π½ΠΎΠΉ ΠΎΠΆΠΎΠ³ΠΎΠ²ΠΎΠΉ ΡΡΠ°Π²ΠΌΡ Ρ ΡΠ΅Π»ΡΡ Π²ΡΡΠ²Π»Π΅Π½ΠΈΡ ΠΏΠΎΠ·Π΄Π½ΠΈΡ
ΠΏΠΎΡΠ»Π΅ΠΎΠΆΠΎΠ³ΠΎΠ²ΡΡ
ΠΎΡΠ»ΠΎΠΆΠ½Π΅Π½ΠΈΠΉ ΠΈ ΠΈΡ
ΠΈΠ½ΡΠ΅ΡΠΏΡΠ΅ΡΠ°ΡΠΈΠΈ Ρ ΡΡΠ΅ΡΠΎΠΌ Π€Π ΡΠ°ΠΊΠΆΠ΅ Π±ΡΠ»ΠΈ ΠΎΠ±ΡΠ»Π΅Π΄ΠΎΠ²Π°Π½Ρ 44 ΠΏΠ°ΡΠΈΠ΅Π½ΡΠ°. ΠΠ· ΠΎΠ±ΡΠ΅Π³ΠΎ ΡΠΈΡΠ»Π° 103 ΠΎΠ±ΡΠ»Π΅Π΄ΠΎΠ²Π°Π½Π½ΡΡ
Π»ΠΈΡ (141 ΠΏΠΎΡΠ°ΠΆΠ΅Π½Π½ΡΠΉ Π³Π»Π°Π·) β 52 (69 Π³Π»Π°Π·) Π±ΠΎΠ»ΡΠ½ΡΡ
Π±ΡΠ»ΠΈ Ρ ΠΌΠ΅Π΄Π»Π΅Π½Π½ΡΠΌ ΡΠΈΠΏΠΎΠΌ ΡΠ΅Π½ΠΎΡΠΈΠΏΠ° Π°ΡΠ΅ΡΠΈΠ»ΠΈΡΠΎΠ²Π°Π½ΠΈΡ (ΠΠ) ΠΈ 51 Π±ΠΎΠ»ΡΠ½ΠΎΠΉ (72 Π³Π»Π°Π·Π°) β Ρ Π±ΡΡΡΡΡΠΌ ΡΠΈΠΏΠΎΠΌ Π°ΡΠ΅ΡΠΈΠ»ΠΈΡΠΎΠ²Π°Π½ΠΈΡ (ΠΠ).Π ΠΠΠ£ΠΠ¬Π’ΠΠ’Π«. Π Π΅Π·ΡΠ»ΡΡΠ°ΡΡ ΠΏΡΠΎΠ²Π΅Π΄Π΅Π½Π½ΡΡ
ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΠΉ ΠΏΠΎΠ·Π²ΠΎΠ»ΡΡΡ ΡΡΠ²Π΅ΡΠΆΠ΄Π°ΡΡ, ΡΡΠΎ ΠΏΡΠΈ ΠΎΠΆΠΎΠ³Π°Ρ
Π³Π»Π°Π· ΠΏΡΠΈ ΠΠ ΡΠ°Π·Π²ΠΈΠ²Π°ΡΡΡΡ Π±ΠΎΠ»Π΅Π΅ Π³Π»ΡΠ±ΠΎΠΊΠΈΠ΅, ΡΡΠΆΠ΅Π»ΠΎ ΠΏΠΎΠ΄Π΄Π°ΡΡΠΈΠ΅ΡΡ Π»Π΅ΡΠ΅Π½ΠΈΡ Π΄Π΅ΡΡΡΡΠΊΡΠΈΠ²Π½ΡΠ΅ Π½Π°ΡΡΡΠ΅Π½ΠΈΡ Π² ΡΠΊΠ°Π½ΡΡ
Π³Π»Π°Π·Π°, ΠΏΡΠΈ ΠΠ β ΠΌΠ΅Π½Π΅Π΅ Π²ΡΡΠ°ΠΆΠ΅Π½Π½ΡΠ΅ ΠΈΠ·ΠΌΠ΅Π½Π΅Π½ΠΈΡ, ΠΊΠΎΡΠΎΡΡΠ΅ Π² Π΄Π°Π»ΡΠ½Π΅ΠΉΡΠ΅ΠΌ Π±ΡΡΡΡΠ΅Π΅ ΠΏΡΠΈΠ²ΠΎΠ΄ΡΡ ΠΊ Π½ΠΎΡΠΌΠ°Π»ΠΈΠ·Π°ΡΠΈΠΈ ΠΏΡΠΎΡΠ΅ΡΡΠ°. Π€Π ΠΎΠΏΡΠ΅Π΄Π΅Π»ΡΠ΅Ρ Ρ
Π°ΡΠ°ΠΊΡΠ΅Ρ ΡΠ΅ΡΠ΅Π½ΠΈΡ, ΡΡΠΆΠ΅ΡΡΡ ΠΈ ΡΠΈΡΠΊ ΡΠ°Π·Π²ΠΈΡΠΈΡ ΠΎΡΠ»ΠΎΠΆΠ½Π΅Π½ΠΈΠΉ ΠΏΡΠΈ ΠΎΠΆΠΎΠ³Π°Ρ
Π³Π»Π°Π·. ΠΠ ΠΌΠΎΠΆΠ΅Ρ ΡΠ»ΡΠΆΠΈΡΡ ΠΏΡΠΎΠ³Π½ΠΎΡΡΠΈΡΠ΅ΡΠΊΠΈΠΌ ΠΌΠ°ΡΠΊΠ΅ΡΠΎΠΌ ΠΊ Π±ΠΎΠ»Π΅Π΅ Π±ΡΡΡΡΠΎΠΉ ΡΠ΅Π³ΡΠ΅ΡΡΠΈΠΈ ΠΏΠ°ΡΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΈΡ
ΠΈΠ·ΠΌΠ΅Π½Π΅Π½ΠΈΠΉ Π² ΡΠΊΠ°Π½ΡΡ
Π³Π»Π°Π·Π°, ΠΠ ΠΏΡΠ΅Π΄ΠΏΠΎΠ»Π°Π³Π°Π΅Ρ ΠΊ ΡΠ°Π·Π²ΠΈΡΠΈΡ Π±ΠΎΠ»Π΅Π΅ ΡΡΠΆΠ΅Π»ΡΡ
ΡΠΎΡΠΌ Ρ Π·Π°ΡΡΠΆΠ½ΡΠΌ ΠΈ ΠΎΡΠ»ΠΎΠΆΠ½Π΅Π½Π½ΡΠΌ ΡΠ΅ΡΠ΅Π½ΠΈΠ΅ΠΌ, ΡΡΡΠ΄Π½ΠΎ ΠΏΠΎΠ΄Π΄Π°ΡΡΠΈΡ
ΡΡ ΡΡΠ°Π΄ΠΈΡΠΈΠΎΠ½Π½ΠΎΠΉ ΡΠ΅ΡΠ°ΠΏΠΈΠΈ.
Effect of structural defects on anomalous ultrasound propagation in solids during second-order phase transitions
The effect of structural defects on the critical ultrasound attenuation and
ultrasound velocity dispersion in Ising-like three-dimensional systems is
studied. A field-theoretical description of the dynamic effects of
acoustic-wave propagation in solids during phase transitions is performed with
allowance for both fluctuation and relaxation attenuation mechanisms. The
temperature and frequency dependences of the scaling functions of the
attenuation coefficient and the ultrasound velocity dispersion are calculated
in a two-loop approximation for pure and structurally disordered systems, and
their asymptotic behavior in hydrodynamic and critical regions is separated. As
compared to a pure system, the presence of structural defects in it is shown to
cause a stronger increase in the sound attenuation coefficient and the sound
velocity dispersion even in the hydrodynamic region as the critical temperature
is reached. As compared to pure analogs, structurally disordered systems should
exhibit stronger temperature and frequency dependences of the acoustic
characteristics in the critical region.Comment: 7 RevTeX pages, 4 figure
ΠΠ΅ΠΉΡΠΎΠ±ΠΈΠΎΡ ΠΈΠΌΠΈΡΠ΅ΡΠΊΠΈΠ΅ ΠΊΡΠΈΡΠ΅ΡΠΈΠΈ Π΄ΠΈΠ°Π³Π½ΠΎΡΡΠΈΠΊΠΈ Π³Π»Π°Π·Π½ΠΎΠ³ΠΎ ΠΈΡΠ΅ΠΌΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΡΠΈΠ½Π΄ΡΠΎΠΌΠ°
PURPOSE: To investigate abnormalities of neurospecific protein S-100 level in patients with ocular ischemic syndrome. METHODS: The material included 28 people aged 59 to 79 years. Control group consisted of 10 volunteers without ophthalmic symptoms, main group (Group 2) consisted of 18 patients with ocular ischemic syndrome. Neurospecific protein level was determined by means of chemiluminescence immunoassay in blood serum and lacrimal fluid by an automatic electrochemiluminescence immunoassay analyzer Cobas e 411 (Β«Roche DiagnosticsΒ», Switzerland). The amount of protein in the fluid up to 0.105 mmol/l was considered a normal value. RESULTS: The study established that the levels of S-100 in the control group were 0.0914Β±0.0012 mmol/l in lacrimal fluid and 0.0712Β±0.0021 mmol/l in blood serum, which was within normal range. In the main group lacrimal levels of S-100 protein were increased in 18 patients and averaged 5.871Β±0.027 mmol/l (pΠ¦ΠΠΠ¬. ΠΠ·ΡΡΠ΅Π½ΠΈΠ΅ Π½Π°ΡΡΡΠ΅Π½ΠΈΡ ΡΡΠΎΠ²Π½Ρ Π½Π΅ΠΉΡΠΎΡΠΏΠ΅ΡΠΈΡΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ Π±Π΅Π»ΠΊΠ° S-100 ΠΏΡΠΈ Π³Π»Π°Π·Π½ΠΎΠΌ ΠΈΡΠ΅ΠΌΠΈΡΠ΅ΡΠΊΠΎΠΌ ΡΠΈΠ½Π΄ΡΠΎΠΌΠ΅ (ΠΠΠ‘). ΠΠΠ’ΠΠΠ«. ΠΠ°ΡΠ΅ΡΠΈΠ°Π»ΠΎΠΌ ΠΏΠΎΡΠ»ΡΠΆΠΈΠ»ΠΈ Π΄Π°Π½Π½ΡΠ΅ 28 ΡΠ΅Π»ΠΎΠ²Π΅ΠΊ Π² Π²ΠΎΠ·ΡΠ°ΡΡΠ΅ ΠΎΡ 59 Π΄ΠΎ 79 Π»Π΅Ρ. ΠΠΎΠ½ΡΡΠΎΠ»ΡΠ½ΡΡ Π³ΡΡΠΏΠΏΡ ΡΠΎΡΡΠ°Π²ΠΈΠ»ΠΈ 10 Π΄ΠΎΠ±ΡΠΎΠ²ΠΎΠ»ΡΡΠ΅Π² Π±Π΅Π· ΠΎΡΡΠ°Π»ΡΠΌΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΎΠΉ ΡΠΈΠΌΠΏΡΠΎΠΌΠ°ΡΠΈΠΊΠΈ, ΠΎΡΠ½ΠΎΠ²Π½Π°Ρ Π³ΡΡΠΏΠΏΠ° (2 Π³ΡΡΠΏΠΏΠ°) ΡΠΎΡΡΠΎΡΠ»Π° ΠΈΠ· 18 ΠΏΠ°ΡΠΈΠ΅Π½ΡΠΎΠ² Ρ ΠΠΠ‘. ΠΠΎΠ»ΠΈΡΠ΅ΡΡΠ²ΠΎ Π½Π΅ΠΉΡΠΎΡΠΏΠ΅ΡΠΈΡΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ Π±Π΅Π»ΠΊΠ° ΠΎΠΏΡΠ΅Π΄Π΅Π»ΡΠ»ΠΎΡΡ Ρ ΠΏΠΎΠΌΠΎΡΡΡ Ρ
Π΅ΠΌΠΈΠ»ΡΠΌΠΈΠ½Π΅ΡΡΠ΅Π½ΡΠ½ΠΎΠ³ΠΎ ΠΈΠΌΠΌΡΠ½ΠΎΠ°Π½Π°Π»ΠΈΠ·Π° Π² ΡΡΠ²ΠΎΡΠΎΡΠΊΠ΅ ΠΊΡΠΎΠ²ΠΈ (Π‘Π) ΠΈ ΡΠ»Π΅Π·Π½ΠΎΠΉ ΠΆΠΈΠ΄ΠΊΠΎΡΡΠΈ (Π‘Π) Π½Π° Π°Π²ΡΠΎΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΎΠΌ ΡΠ»Π΅ΠΊΡΡΠΎΡ
Π΅ΠΌΠΈΠ»ΡΠΌΠΈΠ½Π΅ΡΡΠ΅Π½ΡΠ½ΠΎΠΌ ΠΈΠΌΠΌΡΠ½ΠΎΠ°Π½Π°Π»ΠΈΠ·Π°ΡΠΎΡΠ΅ Cobas e 411 (Β«Roche DiagnosticsΒ», Π¨Π²Π΅ΠΉΡΠ°ΡΠΈΡ). ΠΠΎΡΠΌΠ°Π»ΡΠ½ΡΠΌΠΈ ΠΏΠΎΠΊΠ°Π·Π°ΡΠ΅Π»ΡΠΌΠΈ ΡΡΠΈΡΠ°Π»ΠΈ ΠΊΠΎΠ»ΠΈΡΠ΅ΡΡΠ²ΠΎ Π±Π΅Π»ΠΊΠ° Π² ΠΆΠΈΠ΄ΠΊΠΎΡΡΠΈ Π΄ΠΎ 0,105 ΠΌΠΌΠΎΠ»Ρ/Π». Π ΠΠΠ£ΠΠ¬Π’ΠΠ’Π«. ΠΠΎ ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΠ°ΠΌ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΡ Π±ΡΠ»ΠΎ Π²ΡΡΠ²Π»Π΅Π½ΠΎ, ΡΡΠΎ Ρ Π±ΠΎΠ»ΡΠ½ΡΡ
ΠΊΠΎΠ½ΡΡΠΎΠ»ΡΠ½ΠΎΠΉ Π³ΡΡΠΏΠΏΡ ΠΏΠΎΠΊΠ°Π·Π°ΡΠ΅Π»ΠΈ Π±Π΅Π»ΠΊΠ° S-100 Π² Π‘Π ΡΠΎΡΡΠ°Π²ΠΈΠ»ΠΈ 0,0914Β±0,0012 ΠΌΠΌΠΎΠ»Ρ/Π», Π² Π‘Π - 0,0712Β±0,0021 ΠΌΠΌΠΎΠ»Ρ/Π», ΡΡΠΎ Π±ΡΠ»ΠΎ Π² ΠΏΡΠ΅Π΄Π΅Π»Π°Ρ
Π½ΠΎΡΠΌΡ. Π£ Π±ΠΎΠ»ΡΠ½ΡΡ
ΠΎΡΠ½ΠΎΠ²Π½ΠΎΠΉ Π³ΡΡΠΏΠΏΡ ΠΏΠΎΠΊΠ°Π·Π°ΡΠ΅Π»ΠΈ Π΄Π°Π½Π½ΠΎΠ³ΠΎ Π±Π΅Π»ΠΊΠ° Π² Π‘Π Π±ΡΠ»ΠΈ ΠΏΠΎΠ²ΡΡΠ΅Π½Ρ Ρ Π²ΡΠ΅Ρ
Π±ΠΎΠ»ΡΠ½ΡΡ
ΠΈ ΡΠΎΡΡΠ°Π²ΠΈΠ»ΠΈ Π² ΡΡΠ΅Π΄Π½Π΅ΠΌ 5,871Β±0,027 ΠΌΠΌΠΎΠ»Ρ/Π» (
Quantization and Compressive Sensing
Quantization is an essential step in digitizing signals, and, therefore, an
indispensable component of any modern acquisition system. This book chapter
explores the interaction of quantization and compressive sensing and examines
practical quantization strategies for compressive acquisition systems.
Specifically, we first provide a brief overview of quantization and examine
fundamental performance bounds applicable to any quantization approach. Next,
we consider several forms of scalar quantizers, namely uniform, non-uniform,
and 1-bit. We provide performance bounds and fundamental analysis, as well as
practical quantizer designs and reconstruction algorithms that account for
quantization. Furthermore, we provide an overview of Sigma-Delta
() quantization in the compressed sensing context, and also
discuss implementation issues, recovery algorithms and performance bounds. As
we demonstrate, proper accounting for quantization and careful quantizer design
has significant impact in the performance of a compressive acquisition system.Comment: 35 pages, 20 figures, to appear in Springer book "Compressed Sensing
and Its Applications", 201
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